Stability of Time-Delay Systems
Stability of Time-Delay Systems
Technical communique: Delay-range-dependent stability for systems with time-varying delay
Automatica (Journal of IFAC)
Brief paper: Sampled-data H∞ control and filtering: Nonuniform uncertain sampling
Automatica (Journal of IFAC)
Technical communique: Stability and robust stability for systems with a time-varying delay
Automatica (Journal of IFAC)
A new delay system approach to network-based control
Automatica (Journal of IFAC)
Brief paper: Stability analysis of systems with aperiodic sample-and-hold devices
Automatica (Journal of IFAC)
Brief paper: A refined input delay approach to sampled-data control
Automatica (Journal of IFAC)
Technical communique: Reciprocally convex approach to stability of systems with time-varying delays
Automatica (Journal of IFAC)
Wirtinger-based integral inequality: Application to time-delay systems
Automatica (Journal of IFAC)
| Hi-index | 22.15 |
Discontinuous Lyapunov functionals appeared to be very efficient for sampled-data systems (Fridman, 2010; Naghshtabrizi, Hespanha, & Teel, 2008). In the present paper, new discontinuous Lyapunov functionals are introduced for sampled-data control in the presence of a constant input delay. The construction of these functionals is based on the vector extension of Wirtinger's inequality. These functionals lead to simplified and efficient stability conditions in terms of Linear Matrix Inequalities (LMIs). The new stability analysis is applied to sampled-data state-feedback stabilization and to a novel sampled-data static output-feedback problem, where the delayed measurements are used for stabilization.